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Finding the Fourth Proportional to 18,112.50, 27,171.18 and 7,726.68

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Solution

The fourth proportional to 18,112.50, 27,171.18 and 7,726.68 is: 11,591.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,112.50 : 27,171.18 = 7,726.68 : x
  2. Step 2: Convert to fraction form
    18,112.50/27,171.18 = 7,726.68/x
  3. Step 3: Cross multiply
    18,112.50x = 27,171.18 × 7,726.68
  4. Step 4: Simplify right side
    18,112.50x = 209,943,013.08
  5. Step 5: Solve for x
    x = 209,943,013.08/18,112.50
  6. Step 6: Final answer
    x = 11,591.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.